Find the harmonic conjugate of the function u(x, y) if it exists and if not say...

Transcribed Image Text:

Find the harmonic conjugate of the function u(x, y) if it exists and if not say why it does not exist a) u(x, y) = x³ + x² - y² - 3xy² b) u(x, y) = x² + xy + x²y² Find the harmonic conjugate of the function u(x, y) if it exists and if not say why it does not exist a) u(x, y) = x³ + x² - y² - 3xy² b) u(x, y) = x² + xy + x²y²